What is the Greatest Common Factor of 64508 and 64525?

Greatest common factor (GCF) of 64508 and 64525 is 1.

GCF(64508,64525) = 1

We will now calculate the prime factors of 64508 and 64525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64508 and 64525.

How to find the GCF of 64508 and 64525?

We will first find the prime factorization of 64508 and 64525. After we will calculate the factors of 64508 and 64525 and find the biggest common factor number .

Step-1: Prime Factorization of 64508

Prime factors of 64508 are 2, 16127. Prime factorization of 64508 in exponential form is:

64508 = 2² × 16127¹

Step-2: Prime Factorization of 64525

Prime factors of 64525 are 5, 29, 89. Prime factorization of 64525 in exponential form is:

64525 = 5² × 29¹ × 89¹

Step-3: Factors of 64508

List of positive integer factors of 64508 that divides 64508 without a remainder.

1, 2, 4, 16127, 32254

Step-4: Factors of 64525

List of positive integer factors of 64525 that divides 64508 without a remainder.

1, 5, 25, 29, 89, 145, 445, 725, 2225, 2581, 12905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64508 and 64525. The biggest common factor number is the GCF number.
So the greatest common factor 64508 and 64525 is 1.

Also check out the Least Common Multiple of 64508 and 64525